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arXiv · hep-th/0007099

Isometries in anti-de Sitter and Conformal Superspaces

P. Claus·J. Rahmfeld·H. Robins·J. Tannenhauser·Y. Zunger
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Abstract

We derive explicit forms for the superisometries of a wide class of supercoset manifolds, including those with fermionic generators in the stability group. We apply the results to construct the action of SU(2,2|4) on three supercoset manifolds: (10|32)-dimensional AdS_5 x S^5 superspace, (4|16)-dimensional conformal superspace, and a novel (10|16)-dimensional conformal superspace. Using superembedding techniques, we show, to lowest non-trivial order in the fermions, that at the boundary of AdS_5, the superisometries of the AdS_5 x S^5$ superspace reduce to the standard N=4 superconformal transformations. In particular, half of the 32 fermionic coordinates decouple from the superisometries.

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P. Claus, J. Rahmfeld, H. Robins, J. Tannenhauser, Y. Zunger. 2000-07-12. Isometries in anti-de Sitter and Conformal Superspaces. https://doi.org/10.1088/1126-6708%2F2000%2F07%2F047

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